Bieksa picked up his own rebound and chipped his fourth of the season over Phoenix goalie Mike Smith while falling to the ice.

It capped a game where Coyotes forward Antoine Vermette was credited with a hat trick — even though he only shot one puck into Vancouver's net himself.

"It was a strange game on both sides. It was bizarre," Canucks assistant coach Mike Sullivan said. "I think there might have been one goal that was actually shot in the net. It seemed like everything was a deflection off a skate, off a stick, off something, so it was just one of those games for both sides."

Chris Higgins had a goal and two assists for Vancouver, while Zac Dalpe added a goal and an assist. Jannik Hansen also scored for the Canucks, his first in 11 games.

Vancouver came in having scored just eight times in its previous seven games.

"It wasn't your typical game. We've been struggling to score goals lately, so let's take some positive out of it. We put five in, some guys got on the score sheet and we found a way to win when it came down to it," said Bieksa, who also had an assist.

"We needed the two points. We were up a couple goals a few times and they came back and we stayed resilient and found a way to win."

Roberto Luongo, who was shaky at times and even directed one of Vermette's goals over the line himself, made 29 saves for the Canucks.

"It was definitely a weird one," said Luongo. "It was one of those games where it felt like the puck was bouncing in from everywhere. The good thing is we got the win."

Shane Doan chipped in with a goal and an assist for Phoenix, which got 20 stops from Smith.

"We're going to have to be better than we are right now," Coyotes coach Dave Tippett said. "We play stretches well but make critical errors at the wrong time and those have to be cleaned up if we are going to be a playoff team."

After a wild finish to the second period, Doan tied the score 4-4 on a breakaway at 5:24 of the third for his 15th of the season.

Vancouver was handed a power play right at the end of regulation, but the league's 28th-ranked unit failed to convert in overtime before Bieksa won it.

The Canucks' power play came in 2 for 30 over the last eight games and rarely looked dangerous against the Coyotes in four failed attempts.